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lfunc_lfunctions • Show schema
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{'Lhash': '1865799926909839573581126648354', 'a10': [1.5752165829575915, 0.0], 'a2': [0.0, 1.5042994957471651], 'a3': [2.9364189780414827, 0.6143643751047205], 'a4': [1.7370830270948248, 0.0], 'a5': [0.0, -1.0471429309196192], 'a6': [-0.9241880196750532, 4.417253587970208], 'a7': [-6.706355665629605, 0.0], 'a8': [0.0, 8.630291104718365], 'a9': [8.245112829204373, 3.608062420980195], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.8229006791772555, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-2.9364189780414827, -0.6143643751047205]]], [59, [[1.0, 0], [0, -7.681145747868608]]]], 'bad_primes': [3, 59], 'central_character': '177.119', 'coefficient_field': 'CDF', 'conductor': 177, 'conductor_radical': 177, 'conjugate': '2792928639211098524493217073889', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -1.5042994957471651], [-4.0, 0]], [[1.0, 0], [-2.9364189780414827, -0.6143643751047205]], [[1.0, 0], [0, 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'data': '3.16635143384651288416116940065', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.61941466669022576532189733386', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.8229006791772555, 'bad_primes': [3, 59], 'central_character': '3.2', 'conductor': 177, 'conductor_radical': 177, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/177/3/b/a/119/25'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-177-3.2-c2-0-15', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-177-3.2-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.1961103522312477, 'root_angle': -0.21717473229401474, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.47185661930339370980343650217', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1865799926909839573581126648354', 'Lhash_array': ['1865799926909839573581126648354'], 'label': '2-177-3.2-c2-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/177/3/b/a/119/25'}